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Finding the Fourth Proportional to 415,298.75, 622,043.31 and 272,983.37

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Solution

The fourth proportional to 415,298.75, 622,043.31 and 272,983.37 is: 408,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,298.75 : 622,043.31 = 272,983.37 : x
  2. Step 2: Convert to fraction form
    415,298.75/622,043.31 = 272,983.37/x
  3. Step 3: Cross multiply
    415,298.75x = 622,043.31 × 272,983.37
  4. Step 4: Simplify right side
    415,298.75x = 169,807,476,963.23
  5. Step 5: Solve for x
    x = 169,807,476,963.23/415,298.75
  6. Step 6: Final answer
    x = 408,880.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.